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Finding the Fourth Proportional to 1,781.10, 2,685.02 and 1,662.16

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Solution

The fourth proportional to 1,781.10, 2,685.02 and 1,662.16 is: 2,505.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.10 : 2,685.02 = 1,662.16 : x
  2. Step 2: Convert to fraction form
    1,781.10/2,685.02 = 1,662.16/x
  3. Step 3: Cross multiply
    1,781.10x = 2,685.02 × 1,662.16
  4. Step 4: Simplify right side
    1,781.10x = 4,462,932.84
  5. Step 5: Solve for x
    x = 4,462,932.84/1,781.10
  6. Step 6: Final answer
    x = 2,505.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.